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Finding the Fourth Proportional to 545,142.76, 817,821.12 and 190,168.36

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Solution

The fourth proportional to 545,142.76, 817,821.12 and 190,168.36 is: 285,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,142.76 : 817,821.12 = 190,168.36 : x
  2. Step 2: Convert to fraction form
    545,142.76/817,821.12 = 190,168.36/x
  3. Step 3: Cross multiply
    545,142.76x = 817,821.12 × 190,168.36
  4. Step 4: Simplify right side
    545,142.76x = 155,523,701,163.76
  5. Step 5: Solve for x
    x = 155,523,701,163.76/545,142.76
  6. Step 6: Final answer
    x = 285,289.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.